A NOTE ON THE SINGULARITY OF LCM MATRICES ON GCD - CLOSED SETS WITH 9 ELEMENTS

ALTINIŞIK E., Altintas T.

JOURNAL OF SCIENCE AND ARTS, sa.3, ss.413-422, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.413-422
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present paper, we obtain some classes of gcd - closed sets with 9 elements on which LCM matrices are singular by adding an element to a gcd - closed set with 8 elements on which the LCM matrix is also singular. Finally, examining these examples we present two new conjectures.